📄 b神经网络建模及matlab中重要的bp网络函数 - 清枫 - 岳桦 - 和讯博客.mht
字号:
<P><SPAN lang=3DEN-US>plot(P,T,'+');</SPAN></P>
<P><SPAN lang=3DEN-US>title('Training Vectors');</SPAN></P>
<P><SPAN lang=3DEN-US>xlabel('Input Vector P');</SPAN></P>
<P><SPAN lang=3DEN-US>ylabel('Target Vector T');</SPAN></P>
<P><SPAN lang=3DEN-US>% The function the neural network learns must pass =
through</SPAN></P>
<P><SPAN lang=3DEN-US>% these data points.</SPAN></P>
<P><SPAN lang=3DEN-US>pause </SPAN><SPAN lang=3DEN-US>% Strike any key =
to design the=20
network...</SPAN></P>
<P><SPAN lang=3DEN-US>clc</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>DESIGN THE=20
NETWORK</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> =20
</SPAN>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D</SPAN></P>
<P><SPAN lang=3DEN-US>% A two-layer TANSIG/PURELIN network will be=20
trained.</SPAN></P>
<P><SPAN lang=3DEN-US>%The number of hidden TANSIG neurons should =
reflect=20
the</SPAN></P>
<P><SPAN lang=3DEN-US>% complexity of the problem.</SPAN></P>
<P><SPAN lang=3DEN-US>S1 =3D 5;</SPAN></P>
<P><SPAN lang=3DEN-US>%INITFF is used to initialize the weights and =
biases=20
for</SPAN></P>
<P><SPAN lang=3DEN-US>%the TANSIG/PURELIN network.</SPAN></P>
<P><SPAN lang=3DEN-US>[w1,b1,w2,b2] =3D=20
initff(P,S1,'tansig',T,'purelin');</SPAN></P>
<P><SPAN lang=3DEN-US>echo off</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>TRAINING THE=20
NETWORK</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> =20
</SPAN>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D</SPAN=
></P>
<P><SPAN lang=3DEN-US>%TRAINBP uses backpropagation to train =
feed-forward=20
networks.</SPAN></P>
<P><SPAN lang=3DEN-US>df =3D 10;<SPAN> </SPAN><SPAN =
lang=3DEN-US>%=20
Frequency of progress displays (in epochs).</SPAN></P>
<P><SPAN lang=3DEN-US>me =3D 8000; % Maximum number of epochs to =
train.</SPAN></P>
<P><SPAN lang=3DEN-US>eg =3D 0.02; % Sum-squared error goal.</SPAN></P>
<P><SPAN lang=3DEN-US>lr =3D 0.01; % Learning rate.</SPAN></P>
<P><SPAN lang=3DEN-US>tp =3D [df me eg lr];</SPAN></P>
<P><SPAN lang=3DEN-US>%</SPAN><SPAN lang=3DEN-US>Training =
begins...please wait (this=20
takes a while!)...</SPAN></P>
<P><SPAN=20
lang=3DEN-US>[w1,b1,w2,b2,ep,tr]=3Dtrainbp(w1,b1,'tansig',w2,b2,'purelin'=
,P,T,tp);</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>...and finally=20
finishes.</SPAN></P>
<P><SPAN lang=3DEN-US></SPAN> </P>
<P><SPAN lang=3DEN-US>%TRAINBP has returned new weight and bias values, =
the=20
number</SPAN></P>
<P><SPAN lang=3DEN-US>% of epochs trained EP, and a record of training =
errors=20
TR.</SPAN></P>
<P><SPAN lang=3DEN-US>pause % Strike any key to see a plot of =
errors...</SPAN></P>
<P><SPAN lang=3DEN-US>clc</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>PLOTTING THE =
ERROR=20
CURVE</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> =20
</SPAN>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</SPAN></P>
<P><SPAN lang=3DEN-US>%Here the errors are plotted with respect to =
training=20
epochs:</SPAN></P>
<P><SPAN lang=3DEN-US>ploterr(tr,eg);</SPAN></P>
<P><SPAN lang=3DEN-US>pause </SPAN><SPAN lang=3DEN-US>% Strike any key =
to use the=20
function approximator...</SPAN></P>
<P><SPAN lang=3DEN-US>clc</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>USING THE PATTERN =
ASSOCIATOR</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> =20
</SPAN>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>We can now test =
the=20
associator with one of the origonal</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>inputs, 0.5, and =
see if it=20
returns the target, 0.3960.</SPAN></P>
<P><SPAN lang=3DEN-US>p =3D 0.5;</SPAN></P>
<P><SPAN lang=3DEN-US>a =3D =
simuff(p,w1,b1,'tansig',w2,b2,'purelin')</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>The result is =
fairly=20
close.<SPAN> </SPAN>Training to a lower error</SPAN></P>
<P><SPAN lang=3DEN-US>%<SPAN> </SPAN>goal would result =
in a=20
closer approximation.</SPAN></P>
<P><SPAN lang=3DEN-US>echo off</SPAN></P>
<P><SPAN lang=3DEN-US>disp('End of DEMOBP2')</SPAN></P>
<H2><SPAN =
lang=3DEN-US>2</SPAN><SPAN>=A1=A2=B4=AB=B5=DD=BA=AF=CA=FD</SPAN></H2>
<H3><SPAN lang=3DEN-US>Ø<SPAN> =
</SPAN><SPAN=20
lang=3DEN-US>PURELIN<SPAN> =
</SPAN><SPAN>=B4=BF=CF=DF=D0=D4=D0=CE</SPAN><SPAN>=BA=AF=CA=FD</SPAN></H3=
>
<P><SPAN>=B8=F1=CA=BD=A3=BA<SPAN lang=3DEN-US> =
PURELIN=A3=A8Z=A3=ACB=A3=A9</SPAN></P>
<P><SPAN lang=3DEN-US><SPAN> =
</SPAN>=B3=C9=C5=FA=B4=A6=C0=ED=CF=F2=C1=BFZ=A3=AC=B2=A2=CC=E1=B9=A9=E3=D0=
=D6=B5B</SPAN></P>
<H3><SPAN lang=3DEN-US>Ø<SPAN> =
</SPAN><SPAN>=B6=D4=CA=FD</SPAN><SPAN=20
lang=3DEN-US>S</SPAN><SPAN>=D0=CE</SPAN><SPAN=20
lang=3DEN-US>LOGSIG</SPAN><SPAN>=BA=AF=CA=FD</SPAN></H3>
<P><SPAN>=B8=F1=CA=BD=A3=BA<SPAN =
lang=3DEN-US>LOGSIG=A3=A8Z=A3=ACB=A3=A9</SPAN></P>
<H3><SPAN lang=3DEN-US>Ø<SPAN> =20
</SPAN><SPAN>=CB=AB=C7=FA=D5=FD=C7=D0</SPAN><SPAN =
lang=3DEN-US>S</SPAN><SPAN>=D0=CE</SPAN><SPAN=20
lang=3DEN-US>TANSIG</SPAN><SPAN>=BA=AF=CA=FD</SPAN></H3>
<H2><SPAN>=B8=F1=CA=BD=A3=BA<SPAN =
lang=3DEN-US>TANSIG=A3=A8Z=A3=ACB=A3=A9</SPAN></H2>
<H2><SPAN =
lang=3DEN-US>3</SPAN><SPAN>=A3=AE=B7=B4=CF=F2=B4=AB=B2=A5=CE=F3=B2=EE=B5=BC=
=CA=FD=BA=AF=CA=FD</SPAN></H2>
<P><SPAN=20
lang=3DEN-US>1=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTALIN=A3=A8A=A3=ACE=A3=A9</SPAN></P>
<P><SPAN>=BC=C6=CB=E3=CF=DF=D0=D4=CA=E4=B3=F6=B2=E3=B5=C4=CE=F3=B2=EE=B5=BC=
=CA=FD=D5=F3=A3=AC<SPAN =
lang=3DEN-US>A=A1=A2E=B7=D6=B1=F0=CE=AA=D5=E2=D2=BB=B2=E3=B5=C4=CA=E4=B3=F6=
=CF=F2=C1=BF=D3=EB=CE=F3=B2=EE</SPAN></P>
<P><SPAN=20
lang=3DEN-US>2=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTALIN=A3=A8A=A3=ACD=A3=ACW=A3=A9</SPAN></P>
<P><SPAN =
lang=3DEN-US>2=A3=A9</SPAN><SPAN>=BC=C6=CB=E3=CF=DF=D0=D4=D2=FE=B2=E3=B5=C4=
=CE=F3=B2=EE=B5=BC=CA=FD=D5=F3=A3=AC<SPAN=20
lang=3DEN-US>D=CE=AA=CF=C2=D2=BB=B2=E3=B5=C4=A6=C4=CF=F2=C1=BF=A3=ACW=CE=AA=
=D3=EB=CF=C2=D2=BB=B2=E3=B5=C4=C1=AC=BD=D3=C7=BF=B6=C8</SPAN></P>
<P><SPAN=20
lang=3DEN-US>3=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTALOG=A3=A8A=A3=ACE=A3=A9</SPAN></P>
<P><SPAN=20
lang=3DEN-US>4=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTALOG=A3=A8A=A3=ACD=A3=ACW=A3=A9</SPAN></P>
<P><SPAN=20
lang=3DEN-US>5=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTATAN=A3=A8A=A3=ACE=A3=A9</SPAN></P>
<P><SPAN=20
lang=3DEN-US>6=A3=A9<SPAN>  =
; =20
</SPAN><SPAN lang=3DEN-US>DELTATAN=A3=A8A=A3=ACD=A3=ACW=A3=A9</SPAN></P>
<H2><SPAN lang=3DEN-US>4</SPAN><SPAN>=A1=A2</SPAN><SPAN=20
lang=3DEN-US>BP</SPAN><SPAN>=CD=F8=C2=E7=B5=C4=D1=A7=CF=B0=B9=E6=D4=F2</S=
PAN></H2>
<P><SPAN =
lang=3DEN-US>1)=B7=B4=CF=F2=B4=AB=B2=A5=D1=A7=CF=B0=B9=E6=D4=F2</SPAN></P=
>
<P><SPAN>=B8=F1=CA=BD=A3=BA<SPAN lang=3DEN-US><SPAN> =
</SPAN>LEARNBP=A3=A8P=A3=ACD=A3=ACLR=A3=A9</SPAN></P>
<P><SPAN =
lang=3DEN-US><SPAN> =20
</SPAN>[DW=A3=ACDB]=A3=BDLEARNBP=A3=A8P=A3=ACD=A3=ACLR=A3=A9</SPAN></P>
<P><SPAN lang=3DEN-US><SPAN> =20
</SPAN>=C6=E4=D6=D0P=CE=AA=B1=BE=B2=E3=B5=C4=CA=E4=C8=EB=CF=F2=C1=BF=A3=AC=
D=CE=AA=A6=C4=CF=F2=C1=BF=A3=A8=BF=C9=D2=D4=CD=A8=B9=FD=B7=B4=CF=F2=B4=AB=
=B2=A5=CE=F3=B2=EE=B5=BC=CA=FD=BA=AF=CA=FD=BC=C6=CB=E3=A3=A9=A3=ACLR=CE=AA=
=D1=A7=CF=B0=CB=D9=C2=CA</SPAN></P>
<P><SPAN lang=3DEN-US><SPAN> =20
</SPAN>=BF=C9=CD=AC=CA=B1=B5=C3=B5=BD=C1=AC=BD=D3=C7=BF=B6=C8=B5=C4=D0=DE=
=D5=FD=BE=D8=D5=F3DW=D3=EB=E3=D0=D6=B5=D0=DE=D5=FD=CF=F2=C1=BFDB=A1=A3</S=
PAN></P>
<P><SPAN lang=3DEN-US><SPAN> =20
</SPAN>=C0=FB=D3=C3=B1=BE=BA=AF=CA=FD=D6=AE=C7=B0=A3=AC=CA=D7=CF=C8=D2=AA=
=BC=C6=CB=E3=B3=F6=CD=F8=C2=E7=CA=E4=B3=F6=B2=E3=B5=C4=CE=F3=B2=EE=CF=F2=C1=
=BF=B5=C4=B5=BC=CA=FD=A6=C42=CF=F2=C1=BF=A3=AC=C8=BB=BA=F3=CD=A8=B9=FD=CD=
=F8=C2=E7=B7=B4=CF=F2=B4=AB=B2=A5=A3=AC=D6=B1=B5=BD=BC=C6=CB=E3=B3=F6=C3=BF=
=B8=F6=D2=FE=B2=E3=B5=C4=CE=F3=B2=EE=B5=BC=CA=FD=A3=A8=A6=C41=CF=F2=C1=BF=
=A3=A9=A3=AC=BF=C9=C0=FB=D3=C3=BA=AF=CA=FDDELTALIN=A1=A2DELTALOG=A1=A2DEL=
TATAN=C0=B4=BC=C6=CB=E3=A1=A3</SPAN></P>
<P><SPAN =
lang=3DEN-US>2=A3=A9=C0=FB=D3=C3=B6=AF=C1=BF=B9=E6=D4=F2=B5=C4=B8=C4=BD=F8=
BP=CB=E3=B7=A8</SPAN></P>
<P><SPAN>=B8=F1=CA=BD=A3=BA<SPAN =
lang=3DEN-US>LEARNBPM(P,D,LR,MC,DW)</SPAN></P>
<P><SPAN lang=3DEN-US><SPAN> =20
</SPAN><SPAN> </SPAN>[DW,DB]=3D =
LEARNBPM(P,D,LR,MC,DW=A3=ACDB)</SPAN></P>
<P><SPAN>=C6=E4=D6=D0<SPAN =
lang=3DEN-US>MC=CE=AA=B6=AF=C1=BF=B3=A3=CA=FD=A3=AC0=A1=DCMC=A1=DC1=A1=A3=
</SPAN></P>
<P><SPAN>=CB=B5=C3=F7=A3=BA=B1=EA=D7=BC<SPAN=20
lang=3DEN-US>BP=CB=E3=B7=A8=D4=DA=D0=DE=D5=FD=C8=A8=D6=B5=CA=B1=A3=AC=D6=BB=
=CA=C7=B0=B4=D5=D5=B5=B1=CA=B1=B5=C4=B8=BA=CC=DD=B6=C8=B7=BD=CF=F2=BD=F8=D0=
=D0=D0=DE=B8=C4=A3=AC=B6=F8=C3=BB=D3=D0=BF=BC=C2=C7=B5=BD=D2=D4=C7=B0=B5=C4=
=CC=DD=B6=C8=B7=BD=CF=F2=A3=AC=B4=D3=B6=F8=B3=A3=B3=A3=CA=B9=D1=A7=CF=B0=B9=
=FD=B3=CC=B7=A2=C9=FA=D5=F1=B5=B4=A3=AC=CA=D5=C1=B2=BB=BA=C2=FD=A1=A3=B6=F8=
=B6=AF=C1=BF=B7=A8=D4=F2=CA=C7=BF=BC=C2=C7=CF=C8=C7=B0=B5=C4=CC=DD=B6=C8=B7=
=BD=CF=F2=A1=A3</SPAN></P>
<H2><SPAN lang=3DEN-US>5</SPAN><SPAN>=A1=A2</SPAN><SPAN=20
lang=3DEN-US>BP</SPAN><SPAN>=C9=F1=BE=AD=CD=F8=C2=E7=B5=C4=D1=B5=C1=B7</S=
PAN></H2>
<P><SPAN =
lang=3DEN-US>1=A3=A9.=C0=FB=D3=C3BP=CB=E3=B7=A8=D1=B5=C1=B7=C7=B0=CF=F2=CD=
=F8=C2=E7</SPAN></P>
<P><SPAN lang=3DEN-US><SPAN> </SPAN>=B8=F1=CA=BD=A3=BA</SPAN></P>
<P><SPAN =
lang=3DEN-US>[W=A3=ACB=A3=ACTE=A3=ACTR]=A3=BDTRAINBP=A3=A8W=A3=ACB=A3=AC'=
F'=A3=ACP=A3=ACT=A3=ACTP=A3=A9</SPAN></P>
<P><SPAN=20
lang=3DEN-US>[W1,B1,W2,B2,TE,TR]=3DTRAINBP(W1,B1,'F1',W2,B2,'F2',P,T,TP)<=
/SPAN></P>
<P><SPAN lang=3DEN-US>[W1,B1,W2,B2,W3,B3,TE,TR]=3D</SPAN></P>
<P><SPAN =
lang=3DEN-US>TRAINBP(W1,B1,'F1',W2,B2,'F2',W2,B3,'F3',P,T,TP)</SPAN></P>
<P><SPAN>=CB=B5=C3=F7=A3=BA</SPAN></P>
<P><SPAN>=A3=A8<SPAN =
lang=3DEN-US>1=A3=A9W=CE=AA=C1=AC=BD=D3=C7=BF=B6=C8=A3=ACB=CE=AA=E3=D0=D6=
=B5=A3=ACF=CE=AA=B4=AB=B5=DD=BA=AF=CA=FD=C3=FB</SPAN></P>
<P><SPAN>=A3=A8<SPAN =
lang=3DEN-US>2=A3=A9T=CE=AA=C0=ED=CF=EB=CA=E4=B3=F6=CF=F2=C1=BF=A3=ACP=CE=
=AA=CA=E4=C8=EB</SPAN></P>
<P><SPAN>=A3=A8<SPAN =
lang=3DEN-US>3=A3=A9TP=CE=AA=BF=C9=D1=A1=D1=B5=C1=B7=B2=CE=CA=FD</SPAN></=
P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(1)=D6=B8=B6=A8=C1=BD=B4=CE=B8=FC=D0=C2=CF=D4=CA=BE=BC=E4=B5=
=C4=D1=B5=C1=B7=B4=CE=CA=FD=A3=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA25</SPAN><=
/P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(2)=D6=B8=B6=A8=D1=B5=C1=B7=B5=C4=D7=EE=B4=F3=B4=CE=CA=FD=A3=
=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA100</SPAN></P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(3)=D6=B8=B6=A8=CE=F3=B2=EE=C6=BD=B7=BD=BA=CD=B5=C4=D6=B8=B1=
=EA=A3=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA0.02</SPAN></P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(4)=D6=B8=B6=A8=D1=A7=CF=B0=CB=D9=C2=CA=A3=AC=C6=E4=C8=B1=CA=
=A1=D6=B5=CE=AA0.01</SPAN></P>
<P><SPAN>=A3=A8<SPAN =
lang=3DEN-US>4=A3=A9[w,b,te,tr]=CE=AA=D1=B5=C1=B7=BD=E1=B9=FB</SPAN></P>
<P><SPAN =
lang=3DEN-US>TE=CE=AA=CD=F8=C2=E7=B5=C4=CA=B5=BC=CA=D1=B5=C1=B7=B4=CE=CA=FD=
</SPAN></P>
<P><SPAN =
lang=3DEN-US>TR=CE=AA=CD=F8=C2=E7=D1=B5=C1=B7=CE=F3=B2=EE=C6=BD=B7=BD=BA=CD=
=CF=F2=C1=BF</SPAN></P>
<P><SPAN =
lang=3DEN-US>2=A3=A9=C0=FB=D3=C3=BF=EC=CB=D9BP=CB=E3=B7=A8=D1=B5=C1=B7=C7=
=B0=CF=F2=CD=F8=C2=E7</SPAN></P>
<P><SPAN>=B8=F1=CA=BD=A3=BA</SPAN></P>
<P><SPAN =
lang=3DEN-US>[W=A3=ACB=A3=ACTE=A3=ACTR]=A3=BDTRAINBPX=A3=A8W=A3=ACB=A3=AC=
'F'=A3=ACP=A3=ACT=A3=ACTP=A3=A9</SPAN></P>
<P><SPAN=20
lang=3DEN-US>[W1,B1,W2,B2,TE,TR]=3DTRAINBPX(W1,B1,'F1',W2,B2,'F2',P,T,TP)=
</SPAN></P>
<P><SPAN lang=3DEN-US>[W1,B1,W2,B2,W3,B3,TE,TR]=3D</SPAN></P>
<P><SPAN =
lang=3DEN-US>TRAINBPX(W1,B1,'F1',W2,B2,'F2',W2,B3,'F3',P,T,TP)</SPAN></P>=
<P><SPAN>=CB=B5=C3=F7=A3=BA</SPAN></P>
<P><SPAN>=A3=A8<SPAN=20
lang=3DEN-US>1=A3=A9TRAINBPX=B2=C9=D3=C3=C1=CB=B6=AF=C1=BF=B7=A8=BA=CD=D1=
=A7=CF=B0=C2=CA=D7=D4=CA=CA=D3=C3=B5=F7=D5=FB=B2=DF=C2=D4=A3=AC=B4=D3=B6=F8=
=CC=E1=B8=DF=C1=CB=D1=A7=CF=B0=CB=D9=B6=C8=BC=B0=D4=F6=BC=D3=C1=CB=CB=E3=B7=
=A8=B5=C4=BF=C9=BF=BF=D0=D4</SPAN></P>
<P><SPAN>=A3=A8<SPAN =
lang=3DEN-US>2=A3=A9TP=CE=AA=BF=C9=D1=A1=D1=B5=C1=B7=B2=CE=CA=FD</SPAN></=
P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(1)=D6=B8=B6=A8=C1=BD=B4=CE=B8=FC=D0=C2=CF=D4=CA=BE=BC=E4=B5=
=C4=D1=B5=C1=B7=B4=CE=CA=FD=A3=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA25</SPAN><=
/P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(2)=D6=B8=B6=A8=D1=B5=C1=B7=B5=C4=D7=EE=B4=F3=B4=CE=CA=FD=A3=
=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA100</SPAN></P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(3)=D6=B8=B6=A8=CE=F3=B2=EE=C6=BD=B7=BD=BA=CD=B5=C4=D6=B8=B1=
=EA=A3=AC=C6=E4=C8=B1=CA=A1=D6=B5=CE=AA0.02</SPAN></P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
lang=3DEN-US>TP(4)=D6=B8=B6=A8=D1=A7=CF=B0=CB=D9=C2=CA=A3=AC=C6=E4=C8=B1=CA=
=A1=D6=B5=CE=AA0.01</SPAN></P>
<P><SPAN lang=3DEN-US>l<SPAN> </SPAN><SPAN=20
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -